What is the Greatest Common Factor of 83118 and 83132?

Greatest common factor (GCF) of 83118 and 83132 is 14.

GCF(83118,83132) = 14

We will now calculate the prime factors of 83118 and 83132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83118 and 83132.

How to find the GCF of 83118 and 83132?

We will first find the prime factorization of 83118 and 83132. After we will calculate the factors of 83118 and 83132 and find the biggest common factor number .

Step-1: Prime Factorization of 83118

Prime factors of 83118 are 2, 3, 7, 1979. Prime factorization of 83118 in exponential form is:

83118 = 2¹ × 3¹ × 7¹ × 1979¹

Step-2: Prime Factorization of 83132

Prime factors of 83132 are 2, 7, 2969. Prime factorization of 83132 in exponential form is:

83132 = 2² × 7¹ × 2969¹

Step-3: Factors of 83118

List of positive integer factors of 83118 that divides 83118 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1979, 3958, 5937, 11874, 13853, 27706, 41559

Step-4: Factors of 83132

List of positive integer factors of 83132 that divides 83118 without a remainder.

1, 2, 4, 7, 14, 28, 2969, 5938, 11876, 20783, 41566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83118 and 83132. The biggest common factor number is the GCF number.
So the greatest common factor 83118 and 83132 is 14.

Also check out the Least Common Multiple of 83118 and 83132